MULTIPLE SOLUTIONS FOR A CLASS OF THE SYSTEMS OF THE CRITICAL GROWTH SUSPENSION BRIDGE EQUATIONS
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초록
We show the existence of at least two solutions for a class of systems of the critical growth nonlinear suspension bridge equations with Dirichlet boundary condition and periodic condition. We ¯rst show that the system has a positive solution under suit- able conditions, and next show that the system has another solution under the same conditions by the linking arguments.
Abstract
We show the existence of at least two solutions for a class of systems of the critical growth nonlinear suspension bridge equations with Dirichlet boundary condition and periodic condition. We ¯rst show that the system has a positive solution under suit- able conditions, and next show that the system has another solution under the same conditions by the linking arguments.
참고문헌 (8)
- K. C. Chang, "Solutions of asymptotically linear operator equations via Morse theory", Comm. Pure Appl. Math, 34, pp.693~712 (1981)
- K. C. Chang, "In¯nite dimensional Morse theory and multiple solution prob- lems" (1993), BirkhÄauser
- Q. H. Choi, "A nonlinear suspension bridge equation with nonconstant load", Nonlinear Analysis TMA, 35, pp.649~668 (1999)
- Q. H. Choi, "Multiplicity results for the nonlinear suspen- sion bridge equation, Dynamics of Continuous", Discrete and Impulsive Systems Series A: Mathematical Analysis, 9, pp.29~38 (2002)
- Q. H. Choi, "The study of a nonlin- ear suspension bridge equation by a variational reduction method", Applicable Analysis, 50, pp.73~92 (1993)
- P. J. McKenna, "Nonlinear oscillations in a suspen- sion bridge", Archive for Rational Mechanics and Analysis, 98(2), pp.167~177 (1987)
- J. T. Schwartz, "Nonlinear functional analysis" (1969), Gordon and Breach
- P. H. Rabinowitz, "Minimax methods in critical point theory with applications to di®erential equations", C.B.M.S. Reg. Conf. Ser. in Math, 6 (1986), American Math- ematical Society
